Solitary waves with surface tension. I: Trajectories homoclinic to periodic orbits in four dimensions
From MaRDI portal
Publication:1188033
DOI10.1007/BF00375691zbMath0759.76015OpenAlexW2000053126MaRDI QIDQ1188033
Charles J. Amick, John F. Toland
Publication date: 3 August 1992
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00375691
Periodic solutions to ordinary differential equations (34C25) Solitary waves for incompressible inviscid fluids (76B25) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (21)
The generation of radiating waves in a singularly-perturbed Korteweg-de Vries equation ⋮ Micropteron traveling waves in diatomic Fermi-Pasta-Ulam-Tsingou lattices under the equal mass limit ⋮ Center manifolds in equations from hydrodynamics ⋮ Traveling water waves — the ebb and flow of two centuries ⋮ Small mass nanopteron traveling waves in mass-in-mass lattices with cubic FPUT potential ⋮ Exponentially small estimate for a generalized solitary wave solution to the perturbed K−dV equation ⋮ Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples ⋮ Nanopteron solutions of diatomic Fermi-Pasta-Ulam-Tsingou lattices with small mass-ratio ⋮ Nanopteron-stegoton traveling waves in spring dimer Fermi-Pasta-Ulam-Tsingou lattices ⋮ Strongly nonlinear interfacial dynamics in core–annular flows ⋮ Exact periodic steady solutions for nonlinear wave equations: a new approach ⋮ Multi-hump solutions of some singularly-perturbed equations of KdV type ⋮ Computation of homoclinic solutions to periodic orbits in a reduced water-wave problem ⋮ Weakly non-local solitary wave solutions of a singularly perturbed Boussinesq equation ⋮ Strichartz estimates for dispersive equations and solvability of the Kawahara equation ⋮ Solitary waves in mass-in-mass lattices ⋮ Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics ⋮ Exact Diatomic Fermi--Pasta--Ulam--Tsingou Solitary Waves with Optical Band Ripples at Infinity ⋮ Analytical and numerical studies of a singularly perturbed Boussinesq equation. ⋮ On periodic orbits in a slow-fast system with normally elliptic slow manifold ⋮ Existence of generalized solitary wave solutions of the coupled KdV-CKdV system
Cites Work
- Existence of perturbed solitary wave solutions to a model equation for water waves
- A theory of solitary water-waves in the presence of surface tension
- On solitary water-waves of finite amplitude
- Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3
- Exact solitary water waves with capillary ripples at infinity
- A global branch of solutions to a semilinear equation on an unbounded interval
- On periodic water-waves and their convergence to solitary waves in the long-wave limit
- Water waves for small surface tension: an approach via normal form
- The existence of solitary waves
This page was built for publication: Solitary waves with surface tension. I: Trajectories homoclinic to periodic orbits in four dimensions
